Answer:
d) The difference exists due to chance since the test statistic is small
Step-by-step explanation:
From the given information:
Population mean = 178 cm
the sample mean = 177.5 cm
the standard deviation = 2
the sample size = 25
The null hypothesis and the alternative hypothesis can be computed as:
Null hypothesis:
Alternative hypothesis:
The t-test statistics is determined by using the formula:
Degree of freedom df = n- 1
Degree of freedom df = 25 - 1
Degree of freedom df = 24
At the level of significance ∝ = 0.05, the critical value = 2.064
Decision rule: To reject the null hypothesis if the test statistics is greater than the critical value at 0.05 level of significance
Conclusion: We fail to reject the null hypothesis since the test statistics is lesser than the critical value and we conclude that the difference exists due to chance since the test statistic is small
a non-proportional function with a y-intercept of 2
Answer:
198 mg
Step-by-step explanation:
A child weighs 44 lbs.
Step 1
We convert the child's weight to kg
1 Ibs = 0.45kg
44 Ibs = x
Cross Multiply
1 Ibs × x = 44 Ibs × 0.45 kg
x = 44 Ibs × 0.45 kg/1 Ibs
x = 19.8 kg
Step 2
The physician orders a medication for 10 mg/Kg/day.
From the above statement, we know that:
10mg = 1 kg
Hence, what you give per day is calculated as:
1 kg = 10 mg
19.8kg = x
Cross Multiply
1 kg × x = 19.8kg × 10mg
x = 19.8kg × 10mg/1kg
x = 198mg
Therefore, what you will give per day to a child of 19.8kg(44 Ibs) is 198mg per day
Answer:
d. None of the above.
Step-by-step explanation:
<em>a. By the law of large numbers, it would again be 46%.
</em>
FALSE. This proportion (46%) is a sample statistic, that can or can not be repeated in another sample.
<em>b. By the law of large numbers, the smaller (second) survey will certainly produce a sample proportion farther from the true population proportion than the larger (first) survey.
</em>
FALSE. Smaller samples will produce wider confidence intervals for the estimation of the population proportion, but larger samples does not necessarily gives us better point estimations of the true proportion. A small sample can be closer to the true proportion than a large sample, although is less probable.
<em>c. The proportion computed from the sample of 5000 people would be more accurate because smaller samples tend to be more homogeneous than larger samples.
</em>
FALSE. There is no evidence to claim that smaller samples are more homogeneous.
<em>d. None of the above.</em> TRUE
The vertex is the center point of the line or the axis of symmetry
So your answer should be (-2, -5)
